Frequency Domain Optimal Control of Wind‐Excited Buildings

Abstract

An optimal frequency‐domain approach to active control of wind‐excited buildings is proposed in which the H2 norm of the transfer function from the external disturbance to the regulated output is minimized. A wind‐excitation model established by factorizing the cross‐spectral density matrix of the wind fluctuation is included in the control design. The control of a 60‐story building under an along‐wind excitation by one mass damper, two mass dampers, and active tendon mechanisms is presented in the numerical examples. As an improvement over previous results in civil‐engineering structural control studies, measurement and minimization of building accelerations is achieved. The effects of using constant and frequency‐dependent weighting functions in the control design are also shown. In this case, the frequency‐dependent weighting functions are designed based on the frequency domain response characteristics of the building. The frequency‐domain‐based‐design approach is shown to be both flexible and powerful.